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Finding the Fourth Proportional to 323.99, 485.66 and 141.35

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Solution

The fourth proportional to 323.99, 485.66 and 141.35 is: 211.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.99 : 485.66 = 141.35 : x
  2. Step 2: Convert to fraction form
    323.99/485.66 = 141.35/x
  3. Step 3: Cross multiply
    323.99x = 485.66 × 141.35
  4. Step 4: Simplify right side
    323.99x = 68,648.55
  5. Step 5: Solve for x
    x = 68,648.55/323.99
  6. Step 6: Final answer
    x = 211.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.